1089964800 has 324 divisors, whose sum is σ = 3953913600. Its totient is φ = 286433280.

The previous prime is 1089964753. The next prime is 1089964801. The reversal of 1089964800 is 84699801.

1089964800 is a `hidden beast` number, since 1 + 0 + 89 + 96 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1089964801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7315126 + ... + 7315274.

Almost surely, 2^1089964800 is an apocalyptic number.

1089964800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976956800).

1089964800 is an abundant number, since it is smaller than the sum of its proper divisors (2863948800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1089964800 is a wasteful number, since it uses less digits than its factorization.

1089964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1089964800 is about 33014.6149455056. The cubic root of 1089964800 is about 1029.1313882214.

The spelling of 1089964800 in words is "one billion, eighty-nine million, nine hundred sixty-four thousand, eight hundred".